A Calculation Method for Safety Distance Between the Confined Karst Cave and the Shield Tunnel Based on Upper Bound Theorem

Liu, Quanwei; Sun, Shangqu; Wang, Hongbo; Dong, Ji-xian; Hu, Huanchun

doi:10.1007/s10706-020-01456-6

Cited by 11 publications

(8 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Figure 3c,d, the expression for the rate of energy dissipation in velocity discontinuity C a,0 E a,1 in region A-4 is presented by expression (29).…”

Section: Energy Dissipation Ratementioning

confidence: 99%

“…Firstly, on the basis of the upper bound limit analysis theorem [29] and dissipative structure theory, the failure mode for deeply embedded karst tunnels could be proposed with cavities located ahead of the tunnel working surface. With the introduction of random field theory and reliability theory [30], the probability of failure and reliability indexes of each damage region of the karst tunnel with cavities located ahead of the tunnel working surface are computed with a Monte Carlo method of simulated sampling.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

Wu,

Sun,

Meng

2024

Buildings

View full text Add to dashboard Cite

For the purpose of reliability quantitative assessment of the surrounding rock of the deeply embedded karst tunnel and the geological body around the cavern in the case of the cavern in the forepart of the tunnel face, on the basis of the upper bound limit analysis method, the energy dissipation theory, as well as the reliability theory, the dimensionless performance function of each damage area of the deeply buried karst tunnels could be established in the case of the cavern in the front of the tunnel face. Subsequently, the probability of failure and the reliability index of each damage region of the deep–bedded karst tunnel in the case of the cavern in the front of this tunnel face should be calculated through the Monte Carlo simulation sampling approach. The investigation has demonstrated that the larger the cohesion of the geotechnical body and the larger the internal friction angle within the geotechnical body, the larger the reliability indexes of the geotechnical bodies around the tunnel. The larger the diameter of the cavern and the larger the tunnel burial depth, the greater the probability of failure in the left part of the geotechnical body around this cavern, and the smaller the reliability indexes of these damage areas.

show abstract

“…In Figure 3c,d, the expression for the rate of energy dissipation in velocity discontinuity C a,0 E a,1 in region A-4 is presented by expression (29).…”

Section: Energy Dissipation Ratementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

Wu,

Sun,

Meng

2024

Buildings

View full text Add to dashboard Cite

show abstract

“…In the current study about shield tunnels, a tunnel diameter of 6-8 m is generally defined as a medium diameter [5], a tunnel diameter of 8-12 m is defined as a large diameter, and a tunnel diameter of more than 12 m is defined as a superlarge diameter [5][6][7]. A lot of research has focused on the treatment range of medium-diameter shield tunnels, including theoretical analysis [8][9][10][11], empirical analogy [12][13][14][15][16][17], and numerical simulation [18,19]. Sun [8] and Liu et al [9] deduced a formula for the safe distance between karst caves and the tunnel by using the limit analysis upper bound method, and the treatment range was calculated based on a shield tunnel project of Jinan metro.…”

Section: Introductionmentioning

confidence: 99%

“…A lot of research has focused on the treatment range of medium-diameter shield tunnels, including theoretical analysis [8][9][10][11], empirical analogy [12][13][14][15][16][17], and numerical simulation [18,19]. Sun [8] and Liu et al [9] deduced a formula for the safe distance between karst caves and the tunnel by using the limit analysis upper bound method, and the treatment range was calculated based on a shield tunnel project of Jinan metro. Li et al [10] determined the treatment range of the different types of karst caves for a cross-sea shield tunnel of Dalian metro line 5, combined with the analysis of the grouting reinforcement and collapsed arch.…”

Section: Introductionmentioning

confidence: 99%

Reasonable Treatment Range of Karst Cave Encountered by Super-Large Diameter Shield Tunnel in Strongly Karst-Developed Area

Wang,

Yang,

Yan

2024

Advances in Civil Engineering

View full text Add to dashboard Cite

When a super-large diameter shield tunnel passes through a strongly karst-developed area, in order to ensure the stability of the tunnel and economy of karst reinforcement, the reasonable treatment range for a huge number of karst caves needs to be researched. Based on a karst treatment project of a shield tunnel with a diameter of 14.5 m, this paper studies the influence of intrusive fully filled karst caves on the stability of the lining and excavation face by using theoretical calculation. In addition, the safe distance between the tunnel and karst caves outside the tunnel is proposed through numerical simulation, and the corresponding treatment range is obtained. The results show that the bearing capacity of the lining has a certain reserve when the intrusive cave is smaller than a certain size, and the caves filled with plastic or hard plastic clay have sufficient antifracturing ability. Therefore, some small fully filled caves inside the tunnel profile can be left unreinforced. On the other side, the critical safe distance is only 1–2 m for the caves with a size of 3 m, so the outside caves with a size less than 3 m can be left unreinforced in the treatment range farther away from the tunnel. The proposed treatment range is close to similar projects that have been built, indicating that analysis results are reasonable.

show abstract

“…Traditional methods involve simplifying underground karst tunnels into three-dimensional or two-dimensional mechanical models based on a practical engineering background. This allows for the derivation of empirical formulas for the safety of karst tunnels based on theories such as the Elastic Thickness Plate Theory [9,10] , Discontinuity Theory [4,8] Strength Theory [11] , Upon-Theorem of Limit Analysis [12] , engineering hydraulics, and fracture mechanics [13] . For instance, Weijun, Yanlin, Qingfeng, et al [14] , in conjunction with engineering examples, determined that a 3-meter rock pillar thickness is the critical distance for controlling karst water in the tunnel face.…”

mentioning

confidence: 99%

Framework for determining the safety distance of karst caves adjacent to tunnels

Ding,

Lin

2024

IOP Conf. Ser.: Earth Environ. Sci.

View full text Add to dashboard Cite

Karst caves pose safety issues for tunnels in karst areas. Karst caves at a certain distance from the tunnel must be treated fully to mitigate risks. A threshold of 3 m is typically adopted; caves within this threshold are fully treated, while those beyond are left untreated, regardless of the geological environment, cave features, tunnel design, operating conditions, etc. This poses risks to tunnel safety during construction and operation. This paper proposes a novel framework based on the aforementioned aspects to determine the treatment distance for caves from the perspective of uncertainty and risk. Geological conditions include the soil and rock type, weathering degree, underground water system, and pH. Karst caves primarily include the size, shape, distance, spatial distribution, density, and filling condition; the tunnel aspect refers to the tunnel diameter, construction method, design life, importance, lining, and tolerable criterion; and operation conditions refer to the vehicle speed, operation time, vehicle load, and maintenance. Herein, the parameters/indices for these aspects and methods to quantify their values are described. A decision-making process is illustrated to revive the mindset of risks in tunnel engineering. The proposed framework is effective for optimizing decision-making in karst cave treatment for tunnels in karst areas.

show abstract

A Calculation Method for Safety Distance Between the Confined Karst Cave and the Shield Tunnel Based on Upper Bound Theorem

Cited by 11 publications

References 16 publications

A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

Reasonable Treatment Range of Karst Cave Encountered by Super-Large Diameter Shield Tunnel in Strongly Karst-Developed Area

Framework for determining the safety distance of karst caves adjacent to tunnels

Contact Info

Product

Resources

About